Answer:
C) 2 (2x + 3) (3x + 1)
Step-by-step explanation:
12x² + 22x + 6
2 ( 6x² + 11x + 3 )
2 [ 6x² + 9x + 2x + 3 ]
2 [ 3x ( 2x + 3 ) + 1 ( 2x + 3 ) ]
2 ( 2x + 3 ) ( 3x + 1 ) ⇒ C
Answer:
w = (cv +dy) / (cb - ad)
Step-by-step explanation:
Multiply through by c
aw + y = c(bw + v) / d Multiply by d
d(aw + y) = c(bw + v) Remove the brackets
daw + dy = cbw + cv Subtract dy from both sides.
daw +dy - dy = cbw + cv -dy
daw = cbw + cv - dy Subtract cbw from both sides
daw - cbw = cbw - cbw + cv - dy
daw - cbw = cv - dy Isolate W on the left.
w(da - cb) = cv - dy Divide by cb - ad on both sides.
w = (cv - dy) / (ad - bc) Answer
We know that
if two lines are perpendicular
then
the slopes
m1*m2=-1
step 1
find the slope AB
A (0,2)
B (-3,-3)
m=(y2-y1)/(x2-x1)-----> m=(-3-2)/(-3-0)-----> m=-5/-3----> m1=5/3
step 2
find the slope CD
C (-4,1)
D (0,-2)
m=(y2-y1)/(x2-x1)-----> m=(-2-1)/(0+4)-----> m=--3/4----> m2=-3/4
step 3
multiply mi*m2
(5/3)*(-3/4)-----> -15/12
so
15/12 is not -1
therefore
AB is not perpendicular to CD
Answer:
50272
Step-by-step explanation:
Okay how I solve these equations is I take the problem apart like this:
3142 = 3000 + 100 + 40 + 2
Now we multiply each number by 16:
3000 * 16 = 48000
100 * 16 = 1600
40 * 16 = 640
2 * 16 = 32
Then we add all the totals together:
48000 + 1600 + 640 + 32 = 50272
Hope this Helps ;)